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Finding the Fourth Proportional to 65,183.38, 89,962.17 and 47,092.64

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Solution

The fourth proportional to 65,183.38, 89,962.17 and 47,092.64 is: 64,994.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,183.38 : 89,962.17 = 47,092.64 : x
  2. Step 2: Convert to fraction form
    65,183.38/89,962.17 = 47,092.64/x
  3. Step 3: Cross multiply
    65,183.38x = 89,962.17 × 47,092.64
  4. Step 4: Simplify right side
    65,183.38x = 4,236,556,310.33
  5. Step 5: Solve for x
    x = 4,236,556,310.33/65,183.38
  6. Step 6: Final answer
    x = 64,994.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.